Robust Chaos Generation on the Basis of Symmetry Violations in Attractors

We present a method for generating robust chaos. It is based on the search algorithm weak symmetry violation in the reconstructed attractor. On its basis the smooth functions in the form of a system of finite-difference equations. To ensure robust chaos generator introduced piecewise continuous member. The simulation results are given in the report.Comment: 3 pages, 2014 2nd International Conference on Emission Electronics (ICEE), Saint-Petersburg, Russi

Bifurcation analysis of an inductorless chaos generator using 1D piecewise smooth map

In this work we investigate the dynamics of a one-dimensional piecewise smooth map, which represents the model of a chaos generator circuit. In a particular (symmetric) case analytic results can be given showing that the chaotic region is wide and robust. In the general model only the border collision bifurcation can be analytically determined. However, the dynamics behave in a similar way, leading effectively to robust chaos